# Very special relativity induced phase in neutrino oscillation

## TL;DR

This paper explores how Very Special Relativity (VSR) introduces a new phase in neutrino oscillations, influenced by a preferred axis and magnetic interactions, leading to potential daily variations in oscillation patterns.

## Contribution

It introduces a novel additive kinematic phase in neutrino oscillations within the VSR framework, linking Lorentz violation, magnetic moments, and daily time variations.

## Key findings

- Identification of a VSR-induced phase in neutrino oscillations.
- Prediction of daily time variation in oscillation patterns.
- Linking neutrino magnetic moments with VSR effects.

## Abstract

In Very Special Relativity (VSR), the neutrino mass term is coupled with the VSR preferred axis, and hence Lorentz violating in nature. Beyond standard model physics predicts neutrino magnetic moment which is linearly proportional to the mass eigenstates of the neutrinos. We report an additive kinematic phase in the neutrino flavor oscillation due to the neutrino magnetic moment in the VSR framework. This phase is proportional to the coupling between the VSR preferred axis with the external magnetic field as well as the spin of the neutrino. Furthermore, we predict time variation in the neutrino oscillation with a period of one sidereal day.